Looking for a cheap apartment for rent in Davenport, Dallas, TX? With RENTCafé, finding an affordable apartment in Davenport has never been easier. We feature 43 low-priced rentals directly from property managers, with rents lower than the Davenport, Dallas, TX average, which is currently $1,069. You can expect to find budget-friendly studios in Davenport, Dallas, TX for around $518 per month. Also, cheap one-bedroom apartments in Davenport are renting on average for $662 per month. You will also find good deals on 2-bedroom apartments for about $876 per month. On RENTCafé, Davenport rents go as low as $772/mo.